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math.NT2020
A modular proof of the properness of the Coleman-Mazur eigencurve
Lynnelle Ye
We give a new proof of the properness of the Coleman-Mazur eigencurve. The question of whether the eigencurve satisfies the valuative criterion for properness was first asked by Co…
math.NT2020
Slopes in eigenvarieties for definite unitary groups
Lynnelle Ye
We generalize bounds of Liu-Wan-Xiao for slopes in eigencurves for definite unitary groups of rank to slopes in eigenvarieties for definite unitary groups of any rank. We show…